Geodesic
The existence and estimates of solutions of the Cauchy problem for a nonlinear functional-differential equation
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1329-1334

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We obtain an assertion about functional-differential inequality analogous to the well-known theorem of Chaplygin. The result can be used to find estimates of solutions of specific functional-differential equations.
Keywords: Cauchy problem, functional-differential equation, the Chaplygin theorem on differential inequality. 
@article{VTAMU_2017_22_6_a16,
     author = {Kh. M. Takhir},
     title = {The existence and estimates of solutions of the {Cauchy} problem for a nonlinear functional-differential equation},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {1329--1334},
     publisher = {mathdoc},
     volume = {22},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a16/}
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Kh. M. Takhir. The existence and estimates of solutions of the Cauchy problem for a nonlinear functional-differential equation. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1329-1334. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a16/